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anjali_pant

  • 2 years ago

Find kerT and range T and also find their basis and dimension. Hence verify rank-nullity for the following linear transformations : a) T: R^3->R T(x,y,z)=x+y+z b) T:R^3->R^3 s.t T(x,y,z)=(x+2y-z, y+z, x+y-2z)

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  1. amistre64
    • 2 years ago
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    just a thought, but R^3 has 3 rows, n columns R^1 has 1 row, 1 column in order to map R^3 into R^1 we would have to have T as a 3x1 matrix right?

  2. amistre64
    • 2 years ago
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    a also reminds me of a plane equation; <1,1,1> dot s<x,y,z> = 0 not that that makes things any clearer for me

  3. anjali_pant
    • 2 years ago
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    try the next question !

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